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Let * be a binary operation of N given b...

Let * be a binary operation of `N` given by a `a*b=L C M\ (a , b)` for all `a , b in Ndot` Find `5*7.`

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Let '**' be a binary operation on N given by: a**b=LCM (a,b) for all a, b inN . Find 6**7

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation: 2x^2(dy)/(dx)-\ 2x y+y^2=0

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  2. Find the particular solution of the following differential equation...

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  3. Let * be a binary operation of N given by a a*b=L C M\ (a , b) for all...

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  4. Evaluate: int(2x)/((x^2+1)(x^2+3))\ dx

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  5. Evaluate: int(5x+3)/(sqrt(x^2+4x+10))\ dx

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  6. Find the Vector and Cartesian equations of the line passing through...

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  7. Evaluate : int((x-4)e^x)/((x-2)^3)\ dx

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  8. Show that y=log(1+x)-(2x)/(2+x), x gt 1 is an increasing function of x...

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  9. Find the equation of the normal at the point (a m^2, a m^3) for the ...

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  10. Evaluate : int(e^x)/(sqrt(5-4e^x-\ e^(2x)))\ dx

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  11. Find the relationship between a and b so that the function f define...

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  12. If x^y=e^(x-y), show that (dy)/(dx)=(logx)/({log(x e)}^2)

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  13. Obtain the inverse of the following matrix, using elementary operation...

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  14. Using matrices, solve the following system of equations: x+y+z=6; x...

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  15. Find the value of p , if (2 hat i+6 hat j+27 hat k) x ( hat i+3 hat j+...

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  16. Write the direction cosines of a line equally inclined to be three ...

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  17. Let* be a binary operation on N given by a*b = HCF(a ,\ b)\ a ,\ b\...

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  18. Find the value of x, If [[3x+y,-y],[2y-x,3]]=[[1,2],[-5,3]]

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  19. Write the value of the following determinant |(a-b,b-c,c-a),(b-c,c-a,a...

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  20. Find the value of x, from the following: |(x,4),(2,2x)|=0

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